///////////////////////////////////////////////////////////////
//  Copyright Christopher Kormanyos 2002 - 2011.
//  Copyright 2011 John Maddock. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469

#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif

#include <boost/detail/lightweight_test.hpp>
#include <boost/array.hpp>
#include "test.hpp"

#if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
#define TEST_MPF_50
//#  define TEST_MPF
#define TEST_BACKEND
#define TEST_CPP_DEC_FLOAT
#define TEST_MPFR_50
#define TEST_MPFI_50
#define TEST_CPP_BIN_FLOAT

#ifdef _MSC_VER
#pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
#endif
#ifdef __GNUC__
#pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
#endif

#endif

#if defined(TEST_MPF_50)
#include <boost/multiprecision/gmp.hpp>
#endif
#if defined(TEST_MPFR_50)
#include <boost/multiprecision/mpfr.hpp>
#endif
#if defined(TEST_MPFI_50)
#include <boost/multiprecision/mpfi.hpp>
#endif
#ifdef TEST_BACKEND
#include <boost/multiprecision/concepts/mp_number_archetypes.hpp>
#endif
#ifdef TEST_CPP_DEC_FLOAT
#include <boost/multiprecision/cpp_dec_float.hpp>
#endif
#ifdef TEST_FLOAT128
#include <boost/multiprecision/float128.hpp>
#endif
#ifdef TEST_CPP_BIN_FLOAT
#include <boost/multiprecision/cpp_bin_float.hpp>
#endif

template <class T>
void test()
{
   std::cout << "Testing type: " << typeid(T).name() << std::endl;
   static const boost::array<boost::array<const char*, 3>, 702> data =
       {{
           {{"9.85291419463953934609889984130859375e4", "8.4167086266170372255146503448486328125e2", "8.66781019918879108354226292713799369912745098619466567318041467361236175866573114777000418440761829061824953361563557580935951901405814080757565313129904800947783606850513184296612628910656615168927761935861462770335134108408073175949783551491164949747086136599355880600420490275164555515512645668845e4202"}},
           {{"1.652914355109703592461301013827323913574218750e1", "4.936528947862250937816952500725165009498596191406250e-2", "1.14852190138491736562279120519668390081141778746743826681517181158751264571350304943298501284647564489716027476004029804110782430201351750715968215799574772058637701195873519618784612525011353325208230847515250406858209757415407239793739704829281917272032288615255140733409015874140869835291148547238"}},
           {{"2.95673953882856110908505797851830720901489257812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "5.3091550971799097169423475861549377441406250e2", "9.16137091634529046709182958669115589757019722367818747705232600776240821857227718551873067599347313641575272826830417174591636547915061517391300131065931465784194067711359196329143298499263726513131614582697830908424187934868152998838921216586737465291051289708299364409624364999366486746226077050764e249"}},
           {{"6.085814876798215132883140832120716368081048130989074707031250e-5", "7.65778516457987279864028096199035644531250e2", "5.27056224622668410282266686919173718609676411389459024877282902746284033954589536288634973757568176464096389580016576960309487231057438455595655805167665817497028295657665023126747065443986739792258870082022889306909488139458069146748438042701949551909468708242176394539901613782225328586614222105675e-3229"}},
           {{"2.722646144868545725614694674732163548469543457031250e-1", "4.8695443455590336004346063702996616484597325325012207031250e-4", "9.99366682241962146368589809577120011723198308450433185299366732500677873637460155970547267099719914327909694930518383012498797681761846242526638144261306834523078708261122471803832490341687603813336927181436827534082878781252668704774445437548691251936499670077735883150461534069270846997649139259014e-1"}},
           {{"1.15866069758449596882599053060403093695640563964843750e-1", "4.91253262757665787319183436920866370201110839843750e-1", "3.46868982488456565751167443881314840659743514173491612010770748877346398177489343237604160804413931931718223750314831998907846386274396179552445359933868165880372381338724806279781831953896898649659594755834925976964179275873971118494605322798850925802574178528777014182338769959249415096934378557388e-1"}},
           {{"4.72825938314130529761314392089843750e5", "1.228931327397812367507867747917771339416503906250e1", "5.47245157077269889091085696140795527282280334677569169487973419233796250189843816560261965111196061138868370890204338231535198008079068304184762140493830719955323588998399173073261634891767823614143691840392792367527470000847416054709559319143615840412839768396194451923527439592939735228732869467965e69"}},
           {{"1.2955657225533417658880352973937988281250e4", "1.81521083299418428680382930906489491462707519531250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2.91729899451736210436889587963352494969987265352294254442114149825297350300933403119961677078224257818567229354512108221647637427508041941647518586565006416113534560289731038664091154857692367872604020422463457596747145816854139701847749519264660326361171185139298113322096978245544144264234481020815e7"}},
           {{"1.7430590914513759344117715954780578613281250e3", "1.5572745970949500304847390452778199687600135803222656250e-2", "1.12324923143821767715038683964417533829057341785931080679952341815408539775130405061465897612861320390765996927155081774925717154208894105154455487856335006846587865128269477586014136390788140643457017602926503892493119037260205017744346004538379559837051387829449807650507431889923695496342461088404"}},
           {{"5.947230963297863581829005852341651916503906250e1", "2.4796058491402149168147950319962546927854418754577636718750e-4", "1.00101355895664265703253905800820834352012946978175213925289823900262226487475877307647753894219794796436589570196875943062842928843129407133278574235943906905626144071246066853301987332156463703818534415183682692042219695734377740067313312425523058170350486981674302932951851973390826740834796342180"}},
           {{"1.6890881194976660012148708678303421493183122947812080383300781250e-6", "7.315835005101905608171364292502403259277343750e1", "5.06485337562137503941405427253471002412719863672407294570575625371322654317127374055512455786988091092329605000808871766177184698431732837248355728401235010135527651826220232715652024742668291949645619992685612328535253252695622896976648954823150769316159100729259724133493553742448044299816541989455e-423"}},
           {{"4.72470471679805708838453814912838879536138847470283508300781250e-6", "1.9315009754541449638054473325610160827636718750e1", "1.36613880262643802742756290736395850668317512466586871167321608424137867570108690626258507320043808302565319397131444616166042735793688809613906106252620462557968555895414582976985576875374557668514391264049547180886976991031038592004458693177738810104222966751846844587127740341157319952915743398285e-103"}},
           {{"5.4204233294109713248154491793684428557753562927246093750e-3", "2.5117484913880550045917061652289703488349914550781250e-2", "8.77171703127754502681310204125715941650801721154976863870699221072355335125966565182666925044598746890911836338141033359039531496488403405876863230608143768785806156629534985369811294999635059473513624761915818310578096052710097713441725036078711101258417410421951107958524860020565804089659046743943e-1"}},
           {{"1.0381492965649719018017549387877807021141052246093750e-1", "4.02775539432865528274851918411059159552678465843200683593750e-5", "9.99908769642175788386137778958539300137602918424410284952085874015336769726750047569734816766197409755257562872230833189101650544474710424482558254479079319860825174137124403380959665595507587367668848404286717760343524270837960434045414179621713212480893218438355518348995643697164109731552178914851e-1"}},
           {{"3.826356416302296565845608711242675781250e3", "3.046966451443047785296869278681697323918342590332031250e-3", "1.02545504718938094372102791727911930176506035001600018053644429991055918696319033730794852043021666923875675436795843500904336366408589219201909169612259476814126333181168932741070039124737361896932592045285182764869916877379718622220890978571031406624988992549594836404906978120992311725853941493659"}},
           {{"1.3367248690647914877160928881494328379631042480468750e-1", "1.207016212032306157198036089539527893066406250e1", "2.82608741435940656086722594561546646099634760918110959565977761208896418216166536561903222226214939613599640463597249764023513875896636280664458251642404729724932181291845871312202787897768372355186920789243514016890287945724482698867187289280837997988218972650355222505584789955736058952829050123955e-11"}},
           {{"7.8880385490801472769817337393760681152343750e2", "1.46278561425722486433187441434711217880249023437500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "1.72840141730863663391876877521764355960382145920572562742914162972208384723706307292705275033115082012368548682595775882643927894139786449383322664316773126131611883398659050539189893838100041408464889082404113404032943316931275847874983317572290683797208861989532362102600980996636385789799495020849e4"}},
           {{"6.0290844501169942759588593617081642150878906250e1", "2.73159824509963122807221225230023264884948730468750e-1", "3.06403097260563050081855800637166449495962164712719263330810086375883439970326530663445685346228862337912240907582664457942174627433334293660419014781254710335542481599007896808711916825623070383641755045318205803207383228319360990374222920104547227487223738392731388028498147565624523546346417715655"}},
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           {{"6.21172003041995424155174987390637397766113281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "8.6091943502081919400601914271753400953457457944750785827636718750e-7", "1.00000157241706535645559625081132898066253320364132991765749046567536915342813631920409642832019004224458248512335711478395060579077427182783938451114029622700384959716532968625901664719629811957905865676402174328291417935322613778738659214041802729741480722967793087943757739011593472415850478420639"}},
           {{"8.933489431168359015678070988997205859050154685974121093750e-4", "4.1532229397912578860996291041374206542968750e2", "4.91021563983953636397848520840523223624643742835964326188016961937573012460753870407293657436708430593126320103796954182972032017026192445957161066771807675200884423939605981304732630092257312925408813941089831976477439943114677798839623996214029155361569909503935179401196449493080818512569086682097e-1267"}},
           {{"5.55105519395504379644989967346191406250e4", "2.205612949903890118719118618173524737358093261718750e-1", "1.11282177288045201072507504088709286277978249266318510332909847928909226338145185595245293917086320817076726850666066198249106037631163063795831697507293260413136608221812252367908447186422344164553977681855896096040438700902356349275031836676568495994537852124264298684105398360497193752327260914137e1"}},
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           {{"1.4680947481997885795124147989554330706596374511718750e-1", "6.551502580580362278261929986911127343773841857910156250e-3", "9.87508829078291473496350060709599928627355203095913409392108636898471105714839831302147923025254259824329731513966469918955762532776229610929533035120642195606951641982085398951090528368050382553009140996960228822308531093162518295270230167711636888797942089811261515649759631850124542086583338696866e-1"}},
           {{"2.13403424835757107302924850955605506896972656250e1", "6.748819597020269678289139392290962859988212585449218750e-3", "1.02087023232278898673025082821180943357336233310089987611387411667231521549575677239762600896132782138671932320359043850059141855317509884880628897347559802452573752440941620827448739200875424446592178873469737214134752340014718109265906882735838254335143242217171430272779729156476847140495477447567"}},
           {{"7.9523384475269076610004503891104832291603088378906250e-3", "2.848516784813468483150700194528326392173767089843750e-1", "2.52320441273088937482705455163451804728010853035570734024869989669472225400000323970014547943529070869582874785761555559916107563529628329435884632549334664560080647778917243975126257892837384804686623525333256233581024540617818741704180357848449262419278792476592443919338009722004675820379508226554e-1"}},
           {{"4.86469155616132400629658683044453937327489256858825683593750e-5", "5.2287743444463866127058793153992155566811561584472656250e-3", "9.49398596693121402232511551773946216238940594887656584112333721649128338309222255715733045830942439483758414668436262063880698192055748811167639524982228502529443333539688201437948685066022343441584667892362197265423697997073104183476242310932155094648160217817878533689247152065556146288540676206268e-1"}},
           {{"9.97061023610679164619341463549062609672546386718750e-2", "5.8806435521089213125378591939806938171386718750e1", "1.31339250305317586137103280435203540286641209041963686984564977317675267872546421630007855518104235103746292194256810045376453068069833982650717834727768128915903290190711155087191155109113681049655966851631090461344965018352997694452739029417934674832819743056725077543693812469593253205921308221308e-59"}},
           {{"9.250672288777586627084303927404107525944709777832031250e-3", "6.580410957004390049007724883267655968666076660156250e-2", "7.3479441170322764076883455903714667808123745049715180864128469285725740507392126144584630714483987624811982136825764300996419478406647597069868650694836325508907243957328574154916156467594981153576656803869050960269309839419957622805799157028500973756402769602128058256241358541254395091132685326210e-1"}},
           {{"1.2714451115926221973495557904243469238281250e3", "6.1883631944992800733018611936131492257118225097656250e-2", "1.55634262177085310455272777009125596103461766420555774353254576944288801886851836915203973701385795773437574206488784269131348804974222211728133676956373754063980028710578189114584286886146802067657659439377822750677886486205610448378645450751753499248735236114037268909383185086028320044219137753422"}},
           {{"1.422058718410514757124474272131919860839843750e2", "2.49175822061007323782177991233766078948974609375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2.31499443769464065089935605375459683035642863575091614297392875457512297919442473147075015935528487370816930373009973708163470195938036050657595355692444453780282744702410807810566482106290630446087507470829783752836539009991223629616484834464198297022741851935670638283977884632514115384409382379451e5"}},
           {{"1.7983084647168379888171330094337463378906250e2", "5.15740741801222002740900940409574104705825448036193847656250e-5", "1.00026780930725147708425182905646433452420215464014520968261578887024273841780021979940791064143678705875846798937060716374571767664452465951073901977576420551043883735274454852404885141087100496560513919957329201186421887438051030917217421635429456043545707951122601188323754670287140035060211268236"}},
           {{"1.416174937472059980336780427023768424987792968750e1", "8.06659473408631241819755075539433164522051811218261718750e-4", "1.00214037426842670551611147350147052752193345171802567422360034056719592273707967867550926051192650203531759829732673928643729296057128383914827597014066465351929167430158631190618779931772000386360976972135737607634338444086468691888473748375182457345550820744493891034677687786078596412978684852640"}},
           {{"3.036204456962959472021701401445170631632208824157714843750e-4", "1.777555595293553447611145656992448493838310241699218750e-2", "8.65907453809699509460147409829901675941527854788885630333979265214696163822247505595008528776776735251807610239492515526114770917079309768787319965003601255566849812163333057688474056980168539317656182802355025321396669769362336327872219770789870937515083196007462468888621524361865732646086424336453e-1"}},
           {{"1.8815079698449000716209411621093750e4", "1.96075222779542400530772283673286437988281250e2", "1.33268783679377583213014321394305562443708551652324893198731298378098553656636607906131354129802125769805603337990709647117721910862833606977379369954861887407787985331605230823250624512728814254652735899657072127956911865541366861599183456838203731048557393074731179271410020592240238165188774584943e838"}},
           {{"8.89727582886910006720881938235834240913391113281250e-1", "1.041279960771747739589621062350488500669598579406738281250e-3", "9.9987834430235824472224814411122243776265486577981177293571821321821517441659311658576556678112989769575007643432909365063217328716826322973493501036244864951726160136161783061801068077323413577888781728469725649419290963386640028890564993827733767871754809898250945769328951487990853772174957746180e-1"}},
           {{"1.83083205221824460440238624414632795378565788269042968750e-5", "8.5130581526808327907929196953773498535156250e1", "5.08759465190948202575969824985581134108808966132826957045953621966485495100532942367792704772987024490520063202480279983957515910756497430137889290866515761789926914423548570454774810411630371091100113544891279153106437138536746735808516608107152208446229082973737250416694137957514739571766896873306e-404"}},
           {{"3.346653408259039663751391313617489231546642258763313293457031250e-6", "3.7868598858803215989610180258750915527343750e2", "3.52212078787830927194297643296251781134291925779877466674871728836105722487573580131785145484495276918545575844013070305855330551951353365366550132397674036846629030890995284036782751533644901503503905390007269189142085867922573306793968734446410118933272999821289312420310855129959801669881803865858e-2074"}},
           {{"5.3392773503090527415166147151559528083453187718987464904785156250e-7", "6.207661898675727671229399029506623719498747959733009338378906250e-7", "9.99991034310800110010707678195555035460840436574922962233018600570397473321611757701145927433415065972844383465094874922585959664097551124468322387734536918015102243687653110114625528443011692213994065730522520240541725522418247328328568974843758308408263849244150678651666777627782107985602066092068e-1"}},
           {{"2.19994195074324068173154955729842185974121093750e1", "3.06707480325778616969678580517211230471730232238769531250e-3", "1.00952545862365855685219042115608145190455235613268820530406120489310419092421063376518661644406509494089174786391890344365290616699827245940846567812410266752069452669091303167176618868615804832415636793311353407444727299687139263635273616648724056070625009496090575286667611858626054037393426920940"}},
           {{"9.494261316265068537459392850053063739323988556861877441406250e-6", "3.33658593189578134285966370953246951103210449218750e-1", "2.10953513637051167906362488703903898283324995313357160919327331939686921714903739192273840983847338772103005796728222224591772689334463276313863779738778665022741134644128703431090827473653846081611135627094959784765932765625500258444912393296945910143335619574776807349923037475968356403544804516261e-2"}},
           {{"1.58204381201744226359551248606294393539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "1.699670888752343416014042865036515195242827758193016052246093750e-6", "1.00000077966919198536118506000604021848342587459233214812502825319036185927111842640720441778472762148840769009480654434988580516960635247026640481971290957649218368276357248615028690535272593446475039055115505472342603119011692356413204456935489635677140077206818440909527541341514742179392759484948"}},
           {{"7.89159836081502775182242026552614788670325651764869689941406250e-7", "4.816961061463680380256846547126770019531250e2", "1.94147359401180853490618926342983857830809890106752620847948172427377774972592621604834694930262822082783398795004418901297871494637794539318032606545630879764294273346094400196886499691750495365869112152459387957968585556903274684614177896724684391146995388586545846815713970966406314356957705636188e-2940"}},
           {{"1.289097083842133870348334312438964843750e5", "6.9303987741382092058195496520056622102856636047363281250e-3", "1.08496647090160629262865176257751429047729744058064486558757367783712447981236338124011887293782800275409466363098994983981904989007840757365461380428739706364354348918768376442904733609028311603151255847131247523710764847675936168535507206845244124708518371354311381017836653040028826211975497871572"}},
           {{"1.88979339146257488413205294364161090925335884094238281250e-3", "1.507462797900369366743689170107245445251464843750e1", "8.76918423991144038304021445193438173201942067819279237648900596695575024236585474624026460405210909663314261583560910578839787952809598740673148266220449752385049510413309645447866767727463403580780664879153239139760411591518829772808581212853680494395035365090735562853954119264286528501466090236373e-42"}},
           {{"8.41517212362860789198748534545302391052246093750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "3.64690954096749919699504971504211425781250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2.36385641555849335879047779054573450503531219143280186506059811952516602814802026798922317458022305556248077861115239238036534162971730930403784483407045473794360984711531633071954017599185535725837014265828161774595330813847033913388549400091383297967089159291617295023155265969142242902513558326176e3"}},
           {{"7.794539153729454028507461771368980407714843750e1", "1.375701859744113164651935221627354621887207031250e1", "1.06022076559461302576262215724290203547920286581395364873074659478022575993646868223512587189711310741927159850526321306597320278985726000202501743927791980296512242522543006053260060771089791556404973296770985910119125940674256012428243689156025466514102435785983398909290409351186888763744330929933e26"}},
           {{"1.53996830801468109712004661560058593750e5", "1.5575394558063157535165998979209689423441886901855468750e-2", "1.20447431374301175187511662239775886280442123057569989101048717965641664163683965122530380365781626549245733448495292659434928101251174655724999866929500920292760069066534315397658186379331270528348085084759405281722204998903474609597521346801285181467380964556686904383585877178604246579963496131145"}},
           {{"1.58292085642406949773430824279785156250e5", "2.39839658341223938009534322191029787063598632812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2.95369184630899349835322600435195771430552393938403392920497743251505007693757163085390208500076347439614593692001276141903681987497427879862172599262551403341684739246319058993775975522937386429303489479759146923528741632009619169067978673180741577543638362298805900307916877489621750277562246056785e12"}},
           {{"1.3400796278978785267099738121032714843750e4", "1.930784873528596304326221400060603627935051918029785156250e-3", "1.01851774851557016267678896947673493426952146980838508956199625705868791978344101642179134412654468177801448310465798049263061832294449615311708734175434429497593168411288076223275335865898358255932555661831601275564405349791579099870920484601878548075981946266790952650050188664408833668093366337128"}},
           {{"6.575650904605106461531249806284904479980468750e1", "2.95349579102368409166956553235650062561035156250e1", "4.92883670959819008737323351550818895693909971573197862669756297233542900030950953480711710193053129535412775508169382249001427538228339649766961919628309117712145393012207284297044617755253176225355208718450804357511545954540599873761726532747435308616642768909463909723766874135347528684022648860560e53"}},
           {{"7.73401481707858096115160151384770870208740234375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2.491481202776960799383232370018959045410156250e2", "2.21022119284238444262099118632640694751857489911985882302778583637174384391251394588072250813144879442061174245455228341031066580984347413608919792407019123272438031870871777573323381609534176617167457318208979616222032754767955294734636001910121462806120247278470491361024670390806812831433737112379e221"}},
           {{"1.109788988632283901134001347088542388519272208213806152343750e-5", "1.3221937740391638271830743178725242614746093750e1", "3.07947867569658321194458380597181231565685445537647073748124994390202466909582021155440785847623999110729024670271166064504654713592331835440877924887265726281088902886492996205474623955394661696347608605548560131153946508949187941058346142181719469523416895370937975489878692955467549849494731965625e-66"}},
           {{"6.01388538493091151515557157836155965924263000488281250e-2", "2.600229311077009085274511224206150927784619852900505065917968750e-6", "9.99992690524283092045041727666257712294170472055655983655789156306985603524706361035867762480294454684826579379760817381252880474747063748101481751389649370586878847928039436815138481244723824252557644191693486953238362877605577315573573222917218930477592061427550313462645068276263623663297863327092e-1"}},
           {{"2.155348014323840710737556491949362680315971374511718750e-2", "4.0581281467163221599037115083774551749229431152343750e-2", "8.55799445393602464144976083125961944702079982479924287374752573999342183140040918969698718557087349720031284500593972794455976395816766982409031253828819168807248785638632014800512514311905184872890032777260194266023572565329278809193542262172193713145497824126566400120337339261082686915643720103934e-1"}},
           // Integer exponents:
           {{"1.250e-01", "0.0e+00", "1.0e+00"}},
           {{"-1.250e-01", "0.0e+00", "1.0e+00"}},
           {{"7.50e-01", "0.0e+00", "1.0e+00"}},
           {{"-7.50e-01", "0.0e+00", "1.0e+00"}},
           {{"1.0e+00", "0.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "0.0e+00", "1.0e+00"}},
           {{"1.250e+00", "0.0e+00", "1.0e+00"}},
           {{"-1.250e+00", "0.0e+00", "1.0e+00"}},
           {{"5.5250e+01", "0.0e+00", "1.0e+00"}},
           {{"-5.5250e+01", "0.0e+00", "1.0e+00"}},
           {{"1.250e-01", "1.0e+00", "1.250e-01"}},
           {{"-1.250e-01", "1.0e+00", "-1.250e-01"}},
           {{"7.50e-01", "1.0e+00", "7.50e-01"}},
           {{"-7.50e-01", "1.0e+00", "-7.50e-01"}},
           {{"1.0e+00", "1.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "1.0e+00", "-1.0e+00"}},
           {{"1.250e+00", "1.0e+00", "1.250e+00"}},
           {{"-1.250e+00", "1.0e+00", "-1.250e+00"}},
           {{"5.5250e+01", "1.0e+00", "5.5250e+01"}},
           {{"-5.5250e+01", "1.0e+00", "-5.5250e+01"}},
           {{"1.250e-01", "2.0e+00", "1.56250e-02"}},
           {{"-1.250e-01", "2.0e+00", "1.56250e-02"}},
           {{"7.50e-01", "2.0e+00", "5.6250e-01"}},
           {{"-7.50e-01", "2.0e+00", "5.6250e-01"}},
           {{"1.0e+00", "2.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "2.0e+00", "1.0e+00"}},
           {{"1.250e+00", "2.0e+00", "1.56250e+00"}},
           {{"-1.250e+00", "2.0e+00", "1.56250e+00"}},
           {{"5.5250e+01", "2.0e+00", "3.05256250e+03"}},
           {{"-5.5250e+01", "2.0e+00", "3.05256250e+03"}},
           {{"1.250e-01", "3.0e+00", "1.9531250e-03"}},
           {{"-1.250e-01", "3.0e+00", "-1.9531250e-03"}},
           {{"7.50e-01", "3.0e+00", "4.218750e-01"}},
           {{"-7.50e-01", "3.0e+00", "-4.218750e-01"}},
           {{"1.0e+00", "3.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "3.0e+00", "-1.0e+00"}},
           {{"1.250e+00", "3.0e+00", "1.9531250e+00"}},
           {{"-1.250e+00", "3.0e+00", "-1.9531250e+00"}},
           {{"5.5250e+01", "3.0e+00", "1.686540781250e+05"}},
           {{"-5.5250e+01", "3.0e+00", "-1.686540781250e+05"}},
           {{"1.250e-01", "4.0e+00", "2.441406250e-04"}},
           {{"-1.250e-01", "4.0e+00", "2.441406250e-04"}},
           {{"7.50e-01", "4.0e+00", "3.16406250e-01"}},
           {{"-7.50e-01", "4.0e+00", "3.16406250e-01"}},
           {{"1.0e+00", "4.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "4.0e+00", "1.0e+00"}},
           {{"1.250e+00", "4.0e+00", "2.441406250e+00"}},
           {{"-1.250e+00", "4.0e+00", "2.441406250e+00"}},
           {{"5.5250e+01", "4.0e+00", "9.318137816406250e+06"}},
           {{"-5.5250e+01", "4.0e+00", "9.318137816406250e+06"}},
           {{"1.250e-01", "5.0e+00", "3.05175781250e-05"}},
           {{"-1.250e-01", "5.0e+00", "-3.05175781250e-05"}},
           {{"7.50e-01", "5.0e+00", "2.3730468750e-01"}},
           {{"-7.50e-01", "5.0e+00", "-2.3730468750e-01"}},
           {{"1.0e+00", "5.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "5.0e+00", "-1.0e+00"}},
           {{"1.250e+00", "5.0e+00", "3.05175781250e+00"}},
           {{"-1.250e+00", "5.0e+00", "-3.05175781250e+00"}},
           {{"5.5250e+01", "5.0e+00", "5.1482711435644531250e+08"}},
           {{"-5.5250e+01", "5.0e+00", "-5.1482711435644531250e+08"}},
           {{"1.250e-01", "6.0e+00", "3.8146972656250e-06"}},
           {{"-1.250e-01", "6.0e+00", "3.8146972656250e-06"}},
           {{"7.50e-01", "6.0e+00", "1.779785156250e-01"}},
           {{"-7.50e-01", "6.0e+00", "1.779785156250e-01"}},
           {{"1.0e+00", "6.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "6.0e+00", "1.0e+00"}},
           {{"1.250e+00", "6.0e+00", "3.8146972656250e+00"}},
           {{"-1.250e+00", "6.0e+00", "3.8146972656250e+00"}},
           {{"5.5250e+01", "6.0e+00", "2.84441980681936035156250e+10"}},
           {{"-5.5250e+01", "6.0e+00", "2.84441980681936035156250e+10"}},
           {{"1.250e-01", "7.0e+00", "4.768371582031250e-07"}},
           {{"-1.250e-01", "7.0e+00", "-4.768371582031250e-07"}},
           {{"7.50e-01", "7.0e+00", "1.33483886718750e-01"}},
           {{"-7.50e-01", "7.0e+00", "-1.33483886718750e-01"}},
           {{"1.0e+00", "7.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "7.0e+00", "-1.0e+00"}},
           {{"1.250e+00", "7.0e+00", "4.768371582031250e+00"}},
           {{"-1.250e+00", "7.0e+00", "-4.768371582031250e+00"}},
           {{"5.5250e+01", "7.0e+00", "1.571541943267696594238281250e+12"}},
           {{"-5.5250e+01", "7.0e+00", "-1.571541943267696594238281250e+12"}},
           {{"1.250e-01", "8.0e+00", "5.96046447753906250e-08"}},
           {{"-1.250e-01", "8.0e+00", "5.96046447753906250e-08"}},
           {{"7.50e-01", "8.0e+00", "1.0011291503906250e-01"}},
           {{"-7.50e-01", "8.0e+00", "1.0011291503906250e-01"}},
           {{"1.0e+00", "8.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "8.0e+00", "1.0e+00"}},
           {{"1.250e+00", "8.0e+00", "5.96046447753906250e+00"}},
           {{"-1.250e+00", "8.0e+00", "5.96046447753906250e+00"}},
           {{"5.5250e+01", "8.0e+00", "8.682769236554023683166503906250e+13"}},
           {{"-5.5250e+01", "8.0e+00", "8.682769236554023683166503906250e+13"}},
           {{"1.250e-01", "9.0e+00", "7.4505805969238281250e-09"}},
           {{"-1.250e-01", "9.0e+00", "-7.4505805969238281250e-09"}},
           {{"7.50e-01", "9.0e+00", "7.50846862792968750e-02"}},
           {{"-7.50e-01", "9.0e+00", "-7.50846862792968750e-02"}},
           {{"1.0e+00", "9.0e+00", "1.0e+00"}},
           {{"-1.0e+00", "9.0e+00", "-1.0e+00"}},
           {{"1.250e+00", "9.0e+00", "7.4505805969238281250e+00"}},
           {{"-1.250e+00", "9.0e+00", "-7.4505805969238281250e+00"}},
           {{"5.5250e+01", "9.0e+00", "4.7972300031960980849494934082031250e+15"}},
           {{"-5.5250e+01", "9.0e+00", "-4.7972300031960980849494934082031250e+15"}},
           {{"1.250e-01", "1.0e+01", "9.313225746154785156250e-10"}},
           {{"-1.250e-01", "1.0e+01", "9.313225746154785156250e-10"}},
           {{"7.50e-01", "1.0e+01", "5.6313514709472656250e-02"}},
           {{"-7.50e-01", "1.0e+01", "5.6313514709472656250e-02"}},
           {{"1.0e+00", "1.0e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.0e+01", "1.0e+00"}},
           {{"1.250e+00", "1.0e+01", "9.313225746154785156250e+00"}},
           {{"-1.250e+00", "1.0e+01", "9.313225746154785156250e+00"}},
           {{"5.5250e+01", "1.0e+01", "2.65046957676584419193459510803222656250e+17"}},
           {{"-5.5250e+01", "1.0e+01", "2.65046957676584419193459510803222656250e+17"}},
           {{"1.250e-01", "1.10e+01", "1.164153218269348144531250e-10"}},
           {{"-1.250e-01", "1.10e+01", "-1.164153218269348144531250e-10"}},
           {{"7.50e-01", "1.10e+01", "4.223513603210449218750e-02"}},
           {{"-7.50e-01", "1.10e+01", "-4.223513603210449218750e-02"}},
           {{"1.0e+00", "1.10e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.10e+01", "-1.0e+00"}},
           {{"1.250e+00", "1.10e+01", "1.164153218269348144531250e+01"}},
           {{"-1.250e+00", "1.10e+01", "-1.164153218269348144531250e+01"}},
           {{"5.5250e+01", "1.10e+01", "1.464384441163128916043863797187805175781250e+19"}},
           {{"-5.5250e+01", "1.10e+01", "-1.464384441163128916043863797187805175781250e+19"}},
           {{"1.250e-01", "1.20e+01", "1.45519152283668518066406250e-11"}},
           {{"-1.250e-01", "1.20e+01", "1.45519152283668518066406250e-11"}},
           {{"7.50e-01", "1.20e+01", "3.16763520240783691406250e-02"}},
           {{"-7.50e-01", "1.20e+01", "3.16763520240783691406250e-02"}},
           {{"1.0e+00", "1.20e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.20e+01", "1.0e+00"}},
           {{"1.250e+00", "1.20e+01", "1.45519152283668518066406250e+01"}},
           {{"-1.250e+00", "1.20e+01", "1.45519152283668518066406250e+01"}},
           {{"5.5250e+01", "1.20e+01", "8.090724037426287261142347479462623596191406250e+20"}},
           {{"-5.5250e+01", "1.20e+01", "8.090724037426287261142347479462623596191406250e+20"}},
           {{"1.250e-01", "1.30e+01", "1.8189894035458564758300781250e-12"}},
           {{"-1.250e-01", "1.30e+01", "-1.8189894035458564758300781250e-12"}},
           {{"7.50e-01", "1.30e+01", "2.3757264018058776855468750e-02"}},
           {{"-7.50e-01", "1.30e+01", "-2.3757264018058776855468750e-02"}},
           {{"1.0e+00", "1.30e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.30e+01", "-1.0e+00"}},
           {{"1.250e+00", "1.30e+01", "1.8189894035458564758300781250e+01"}},
           {{"-1.250e+00", "1.30e+01", "-1.8189894035458564758300781250e+01"}},
           {{"5.5250e+01", "1.30e+01", "4.4701250306780237117811469824030995368957519531250e+22"}},
           {{"-5.5250e+01", "1.30e+01", "-4.4701250306780237117811469824030995368957519531250e+22"}},
           {{"1.250e-01", "1.40e+01", "2.273736754432320594787597656250e-13"}},
           {{"-1.250e-01", "1.40e+01", "2.273736754432320594787597656250e-13"}},
           {{"7.50e-01", "1.40e+01", "1.781794801354408264160156250e-02"}},
           {{"-7.50e-01", "1.40e+01", "1.781794801354408264160156250e-02"}},
           {{"1.0e+00", "1.40e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.40e+01", "1.0e+00"}},
           {{"1.250e+00", "1.40e+01", "2.273736754432320594787597656250e+01"}},
           {{"-1.250e+00", "1.40e+01", "2.273736754432320594787597656250e+01"}},
           {{"5.5250e+01", "1.40e+01", "2.46974407944960810075908370777771249413490295410156250e+24"}},
           {{"-5.5250e+01", "1.40e+01", "2.46974407944960810075908370777771249413490295410156250e+24"}},
           {{"1.250e-01", "1.50e+01", "2.84217094304040074348449707031250e-14"}},
           {{"-1.250e-01", "1.50e+01", "-2.84217094304040074348449707031250e-14"}},
           {{"7.50e-01", "1.50e+01", "1.33634610101580619812011718750e-02"}},
           {{"-7.50e-01", "1.50e+01", "-1.33634610101580619812011718750e-02"}},
           {{"1.0e+00", "1.50e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.50e+01", "-1.0e+00"}},
           {{"1.250e+00", "1.50e+01", "2.84217094304040074348449707031250e+01"}},
           {{"-1.250e+00", "1.50e+01", "-2.84217094304040074348449707031250e+01"}},
           {{"5.5250e+01", "1.50e+01", "1.364533603895908475669393748547186153009533882141113281250e+26"}},
           {{"-5.5250e+01", "1.50e+01", "-1.364533603895908475669393748547186153009533882141113281250e+26"}},
           {{"1.250e-01", "1.60e+01", "3.5527136788005009293556213378906250e-15"}},
           {{"-1.250e-01", "1.60e+01", "3.5527136788005009293556213378906250e-15"}},
           {{"7.50e-01", "1.60e+01", "1.0022595757618546485900878906250e-02"}},
           {{"-7.50e-01", "1.60e+01", "1.0022595757618546485900878906250e-02"}},
           {{"1.0e+00", "1.60e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.60e+01", "1.0e+00"}},
           {{"1.250e+00", "1.60e+01", "3.5527136788005009293556213378906250e+01"}},
           {{"-1.250e+00", "1.60e+01", "3.5527136788005009293556213378906250e+01"}},
           {{"5.5250e+01", "1.60e+01", "7.539048161524894328073400460723203495377674698829650878906250e+27"}},
           {{"-5.5250e+01", "1.60e+01", "7.539048161524894328073400460723203495377674698829650878906250e+27"}},
           {{"1.250e-01", "1.70e+01", "4.440892098500626161694526672363281250e-16"}},
           {{"-1.250e-01", "1.70e+01", "-4.440892098500626161694526672363281250e-16"}},
           {{"7.50e-01", "1.70e+01", "7.51694681821390986442565917968750e-03"}},
           {{"-7.50e-01", "1.70e+01", "-7.51694681821390986442565917968750e-03"}},
           {{"1.0e+00", "1.70e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.70e+01", "-1.0e+00"}},
           {{"1.250e+00", "1.70e+01", "4.440892098500626161694526672363281250e+01"}},
           {{"-1.250e+00", "1.70e+01", "-4.440892098500626161694526672363281250e+01"}},
           {{"5.5250e+01", "1.70e+01", "4.1653241092425041162605537545495699311961652711033821105957031250e+29"}},
           {{"-5.5250e+01", "1.70e+01", "-4.1653241092425041162605537545495699311961652711033821105957031250e+29"}},
           {{"1.250e-01", "1.80e+01", "5.55111512312578270211815834045410156250e-17"}},
           {{"-1.250e-01", "1.80e+01", "5.55111512312578270211815834045410156250e-17"}},
           {{"7.50e-01", "1.80e+01", "5.6377101136604323983192443847656250e-03"}},
           {{"-7.50e-01", "1.80e+01", "5.6377101136604323983192443847656250e-03"}},
           {{"1.0e+00", "1.80e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.80e+01", "1.0e+00"}},
           {{"1.250e+00", "1.80e+01", "5.55111512312578270211815834045410156250e+01"}},
           {{"-1.250e+00", "1.80e+01", "5.55111512312578270211815834045410156250e+01"}},
           {{"5.5250e+01", "1.80e+01", "2.30134157035648352423395594938863738698588131228461861610412597656250e+31"}},
           {{"-5.5250e+01", "1.80e+01", "2.30134157035648352423395594938863738698588131228461861610412597656250e+31"}},
           {{"1.250e-01", "1.90e+01", "6.9388939039072283776476979255676269531250e-18"}},
           {{"-1.250e-01", "1.90e+01", "-6.9388939039072283776476979255676269531250e-18"}},
           {{"7.50e-01", "1.90e+01", "4.228282585245324298739433288574218750e-03"}},
           {{"-7.50e-01", "1.90e+01", "-4.228282585245324298739433288574218750e-03"}},
           {{"1.0e+00", "1.90e+01", "1.0e+00"}},
           {{"-1.0e+00", "1.90e+01", "-1.0e+00"}},
           {{"1.250e+00", "1.90e+01", "6.9388939039072283776476979255676269531250e+01"}},
           {{"-1.250e+00", "1.90e+01", "-6.9388939039072283776476979255676269531250e+01"}},
           {{"5.5250e+01", "1.90e+01", "1.271491217621957147139260662037222156309699425037251785397529602050781250e+33"}},
           {{"-5.5250e+01", "1.90e+01", "-1.271491217621957147139260662037222156309699425037251785397529602050781250e+33"}},
           {{
               "-1",
               "18446744073709551615",
               "-1",
           }},
           {{
               "-1",
               "18446744073709551614",
               "1",
           }},
       }};

   unsigned max_err = 0;
   for (unsigned k = 0; k < data.size(); k++)
   {
      T        val = pow(T(data[k][0]), T(data[k][1]));
      T        e   = relative_error(val, T(data[k][2]));
      unsigned err = e.template convert_to<unsigned>();
      if (err > max_err)
      {
         max_err = err;
      }
      val = pow(T(data[k][0]), -T(data[k][1]));
      e   = relative_error(val, T(1 / T(data[k][2])));
      err = e.template convert_to<unsigned>();
      if (err > max_err)
      {
         max_err = err;
      }
   }
   std::cout << "Max error was: " << max_err << std::endl;
   //
   // Special cases come last:
   //
   BOOST_CHECK_EQUAL(pow(T(0), T(0)), 1);
   BOOST_CHECK_EQUAL(pow(T(0), 0), 1);
   BOOST_CHECK_EQUAL(pow(T(0), T(2)), 0);
   BOOST_CHECK_EQUAL(pow(T(0), 2), 0);
   BOOST_CHECK_EQUAL(pow(T(1), T(0)), 1);
   BOOST_CHECK_EQUAL(pow(T(1), 0), 1);
   BOOST_CHECK_EQUAL(pow(T(1), T(2)), 1);
   BOOST_CHECK_EQUAL(pow(T(1), 2), 1);

   if (!boost::multiprecision::is_interval_number<T>::value)
   {
      T bug_case = -1.05 * log((std::numeric_limits<T>::max)()) / log(T(1.01));

      for (unsigned i = 0; i < 100; ++i, bug_case *= 1.05)
      {
         if (std::numeric_limits<T>::has_infinity)
         {
            BOOST_CHECK_EQUAL(pow(T(1.01), bug_case), 0);
         }
         else
         {
            BOOST_CHECK_LE(pow(T(1.01), bug_case), (std::numeric_limits<T>::min)());
         }
      }
   }
}

int main()
{
#ifdef TEST_BACKEND
   test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
#endif
#ifdef TEST_MPF_50
   test<boost::multiprecision::mpf_float_50>();
   test<boost::multiprecision::mpf_float_100>();
#endif
#ifdef TEST_MPFR_50
   test<boost::multiprecision::mpfr_float_50>();
   test<boost::multiprecision::mpfr_float_100>();
#endif
#ifdef TEST_MPFI_50
   test<boost::multiprecision::mpfi_float_50>();
   test<boost::multiprecision::mpfi_float_100>();
#endif
#ifdef TEST_CPP_DEC_FLOAT
   test<boost::multiprecision::cpp_dec_float_50>();
   test<boost::multiprecision::cpp_dec_float_100>();
#ifndef SLOW_COMPLER
   // Some "peculiar" digit counts which stress our code:
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<char> > > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<char> > > >();
   // Check low multiprecision digit counts.
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<9> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<18> > >();
#endif
#endif
#ifdef TEST_FLOAT128
   test<boost::multiprecision::float128>();
#endif
#ifdef TEST_CPP_BIN_FLOAT
   test<boost::multiprecision::cpp_bin_float_50>();
   test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, long long> > >();
#endif
   return boost::report_errors();
}
